Can I hide the toolbar from a user group?

I want to enable site registration, but I don't want most users to see the toolbar since it will hold no meaning to them; they will have no content management permissions. All I want is for them to see protected content that non-registered users can't see.

Is there any way to hide the toolbar based on a user's group? I have advanced permissions enabled.

Use Case:
* I create a page that I only want users in the group "Customers" to see
* I create a user named "bob" and assign him to the user group "Customers"
* "bob" logs in and can see the page but not the toolbar

The toolbar will not appear for users that don't have permissions to edit. So if you just create a "Customers" group and don't assign that group the permissions to create or edit pages, then it should just work the way you want without having to do anything special.